Suppose you want to make a certain kind of tropical punch using bananas,oranges, and papayas. This is what you know.
You know the recipe takes seven pieces of fruit.
You don't know how many of each to put in the punch, but you know that
there are twice as many oranges as bananas.
You know that the seven pieces of fruit cost $5.25, where bananas cost $.50
each, oranges cost $.75 each, and papayas cost $1.25 each.
How many pieces of each type of fruit do you need to make the tropical punch?
Answers
Answer: 4 oranges, 2 bananas, and 1 papaya
Step-by-step explanation:
because there are twice as many oranges as bananas and 7 total fruit so 4 is the max amount of oranges you can have which leaves 2 bananas and 1 left over which is the papaya. Then to check work plug in the amount of fruit times their price which totals $5.25.
Final answer:
To make the tropical punch with a total of $5.25, you will need 1 banana, 2 oranges and 4 papayas based on their individual costs and the given relationship between bananas and oranges.
Explanation:
This is a linear algebra problem where we need to solve a system of linear equations. Let's denote the number of bananas as 'b', oranges as 'o', and papayas as 'p'. We have several pieces of information to form our equations:
1. The total pieces of fruit we have is 7. So, b + o + p = 7.
2. Oranges are twice as numerous as bananas, so o = 2b.
3. The total cost of the fruits is $5.25. So, 0.5b + 0.75o + 1.25p = 5.25.
By substituting o = 2b and re-arranging the equations, we obtain that b=1, o=2, and p=4. Hence, to make the tropical punch, we need 1 banana, 2 oranges, and 4 papayas.
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a = b – 2
What is the solution to the set of equations in the form (a, b)?
(–2, –6)
(–7, –9)
(–11, –9)
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Answers
Good Morning
a-3b=16
a=b-2
Solve a=b -2 for a
Substitute b-2 for a in a-3b=16
a-3b=16
b-2-3b=16
Simplify both sides of the equation
-2b-2=16
Add 2 to both sides
-2b-2+2=16+2
-2b=18
Divide both sides by -2
-2b/-2 = 18/-2
b= -9
Substitute -9 for b in a=b -2
a=b -2
a=-9-2
Simplify both sides of the equation
a= -11
Answer: (-11,-9)
I hope that's help !
Happy Sunday :)
Answer:
The solution to the set of equations is (-11, -9).
Step-by-step explanation:
picking a red golf ball, replacing it, and then picking a
yellow golf ball? Written as a percent?
Answers
Answer: The answer is provided below
Step-by-step explanation:
From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.
The probability of picking a red golf ball will be:
= 6/20 × 100
= 600/20
= 30%
If the red ball is replaced, the probability of picking a yellow golf ball will be:
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Answers
2 1/3 feet :4 1/2 feet
help
Answers
Answers
when a fraction is being divided by a number you multiply the first number by the reciprocal of the second number. A reciprocal is basically a number that can be multiplied by the first number to make 1
So in this case the reciprocal of 5 is 1/5
now just multiply and get 1/25
So the answer is 1/25
The first number is already a fraction; make the second whole number into a fraction.
Now follow these steps:
Rewrite equation.
Switch division sign to multiplication.
Find reciprocal of the second fraction, which means to flip the fraction around.
Cross multiply.
Simplify if needed.
Now let's put that into this equation.